Defining parameters
| Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 200.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4 \) |
| Character field: | \(\Q\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(90\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(200, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 72 | 0 | 72 |
| Cusp forms | 48 | 0 | 48 |
| Eisenstein series | 24 | 0 | 24 |
Decomposition of \(S_{3}^{\mathrm{old}}(200, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(200, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(20, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(100, [\chi])\)\(^{\oplus 2}\)